Question

which pair of angles are congruent? a 1 and 8 b 4 and 6 c 5 and 6 d 1 and 7

Explanation:

Step1: Recall vertical - angle property

Vertical angles are congruent. Also, when two parallel lines are cut by a transversal, alternate - exterior angles are congruent. Angle 1 and angle 8 are alternate - exterior angles.

Step2: Analyze other options

• Option B: Angle 4 and angle 6 are same - side interior angles, which are supplementary (add up to 180°) not congruent.
• Option C: Angle 5 and angle 6 are adjacent angles, not congruent.
• Option D: Angle 1 and angle 7 have no special angle - relationship that makes them congruent.

Answer:

A. 1 and 8